Mathematics
Grade9
Easy

Question

Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?

hintHint:

A balanced and proportionate likeness between an object's two halves is referred to as symmetry in geometry. It implies that one half is the other's mirror image. The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves. Here we have given some figures and we have to find which has more than 1 line of symmetry.

The correct answer is:


    A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. According to the math definition of symmetry, "symmetry is a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it.
    The term "line of symmetry" refers to the fictitious axis or line that you fold a figure along to create its symmetrical halves. In essence, it splits one thing into two mirror images. The symmetry line may run vertically, horizontally, or diagonally. There could be one or many symmetry lines.
    Here we have given 4 figures and we have to find which figure has more than 1 line of symmetry.
    Lets go one by one, the first figure is:


    So in this figure we can draw only 1 vertical line as the line of symmetry so it has 1 line of symmetry.

    The second figure is:


    So in this figure we can draw only 1 horizontal line as the line of symmetry so it has 1 line of symmetry.

    So in this figure we can draw only 1 vertical line as the line of symmetry so it has 1 line of symmetry.

    So in this figure we can draw 2 lines, 1 horizontal line as well as 1 vertical line of symmetry so it has 2 lines of symmetry.

    So the figure 4 has more than 1 line of symmetry.

    If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.

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